๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Some inequalities on the chromatic number of a graph

โœ Scribed by T. King; G.L. Nemhauser


Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
567 KB
Volume
10
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


On the harmonious chromatic number of a
โœ John Mitchem ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 755 KB

The harmonious chromatic number of a graph G, denoted by h(G), is the least number of colon which can be assigned to the vertices of G such that adjacent vertices are colored differently and any two distinct edges have different color pairs. This is a slight variation of a definition given independe

Some Theorems Concerning the Star Chroma
โœ Bing Zhou ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 379 KB

We investigate the notion of the star chromatic number of a graph in conjunction with various other graph parameters, among them, clique number, girth, and independence number. 1997 Academic Press /\*(G)=inf { m d : G has an (m, d )&coloring = . article no. TB961738 245 0095-8956ร‚97 25.00

A bound on the chromatic number of a gra
โœ Paul A. Catlin ๐Ÿ“‚ Article ๐Ÿ“… 1978 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 392 KB

We give an upper bound on the chromatic number of a graph in terms of its maximum degree and the size of the largest complete subgraph. Our result extends a theorem due to i3rook.s.

Another bound on the chromatic number of
โœ Paul A. Catlin ๐Ÿ“‚ Article ๐Ÿ“… 1978 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 422 KB

Let C be a simple graph. let JiGI denote the maximum degree of it\ \erlicek. ,III~ Ic~r \ 1 C; 1 denote irs chromatic pumber. Brooks' Theorem asserb lha1 ytG I'--AI G I. unk\\ C; hd.. .I component that is a COI lplete graph K,,,,\_ ,. or ullesq .I1 G I = 2 and G ha\ ;~n c~rld C\CIC

The star chromatic number of a graph
โœ H. L. Abbott; B. Zhou ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 469 KB ๐Ÿ‘ 2 views

## Abstract We study a generalization of the notion of the chromatic number of a graph in which the colors assigned to adjacent vertices are required to be, in a certain sense, far apart. ยฉ 1993 John Wiley & Sons, Inc.